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- 11. GAMS supports the following basic model: LP Linear Programming MIP Mixed-Integer Programming NLP Non-Linear Programming MPEC Mathematical Programs with Equilibrium Constraints CNS Constrained Nonlinear Systems DNLP Non-Linear Programming with Discontinuous Derivatives MINLP Mixed-Integer Non-Linear Programming QCP Quadratically Constrained Programs MIQCP Mixed Integer Quadratic ally Constrained Programs